- Thread starter
- #1

- Feb 5, 2012

- 1,621

Here's a question I am struggling with recently. Hope you can give me some hints or ideas on how to solve this.

**Question:**

If the collection of subspaces of the \(K\)-vector space \(V\) satisfies either distributive law \(A+(B\cap C)=(A+B)\cap (A+C)\) or \(A\cap (B+C)=(A\cap B)+(A\cap C)\), show that \(\mbox{dim}_{k}V\leq 1\).